document.write( "Question 831866: A jet flew a distance of 4800 km. On the return flight, the speed was decreased by 200 km/h. If the difference in times was 2 hrs, what was the jets speed on the return flight \n" ); document.write( "
Algebra.Com's Answer #501697 by TimothyLamb(4379) You can put this solution on YOUR website! --- \n" ); document.write( "s = d/t \n" ); document.write( "d = s*t \n" ); document.write( "--- \n" ); document.write( "outbound: \n" ); document.write( "4800 = st \n" ); document.write( "--- \n" ); document.write( "return: \n" ); document.write( "4800 = (s - 200)(t + 2) \n" ); document.write( "4800 = st + 2s - 200t - 400 \n" ); document.write( "--- \n" ); document.write( "st = st + 2s - 200t - 400 \n" ); document.write( "2s - 200t = 400 \n" ); document.write( "--- \n" ); document.write( "s = 4800/t \n" ); document.write( "--- \n" ); document.write( "2s - 200t = 400 \n" ); document.write( "2(4800/t) - 200t = 400 \n" ); document.write( "9600/t - 200t = 400 \n" ); document.write( "9600 - 200tt = 400t \n" ); document.write( "-200tt - 400t + 9600 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=-200, b=-400, and c=9600 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "-200 -400 9600 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the quadratic has two real roots at: \n" ); document.write( "--- \n" ); document.write( "x = -8 \n" ); document.write( "x = 6 \n" ); document.write( "--- \n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root \n" ); document.write( "--- \n" ); document.write( "x = 6 hours \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "speed outbound: \n" ); document.write( "s = 4800/6 \n" ); document.write( "s = 800 kph \n" ); document.write( "speed on return: \n" ); document.write( "s = 4800/8 \n" ); document.write( "s = 600 kph \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |